量子规范场论作为粒子物理标准模型的理论基础，对其性质的深入研究始终是高能理论物理的关注焦点之一。通过QCD(量子色动力学)给出强子的质量谱仍然是一个悬而未决的难题，问题的核心在于人们对于强耦合的量子场论缺乏有效的研究手段。量子引力全息原理的具体实现——规范/引力对应提供了研究强耦合量子规范场论的全新思路和实现手段。这一对应中可积结构的发现使得人们能够解析地研究强耦合规范场论。本项目计划利用可积性来研究三维超对称陈-Simons-物质理论及与其对偶的弦论。计划研究场论中各类算符的反常量纲问题和弦论的可积性问题，主要包括类重子算符和插入物质场的Wilson圈算符及其弦论对偶描述，利用理论的可积性可以给出反常量纲对耦合常数依赖的严格解，并在引力对偶理论中对这一严格解做出检验。

Quantum gauge field theory is the theoretical basis of the standard model of particle physics. The in-depth study of its properties has always been the one of the focus of high energy theoretical physics. Giving the mass spectrum of hadrons through QCD (quantum chromodynamics) is still an unsolved problem. The core of the problem lies in the lack of effective research methods for strongly coupled quantum field theory. The concrete realization of the holography principle in quantum gravity —the gauge/gravity correspondence provides a new way of thinking and realization of the study of the strongly coupled quantum gauge field theory. The discovery of integrable structure in this corresponding allows one to analytically study the strongly coupled gauge field theory. This project plans to study the three-dimensional supersymmetric Chern-Simons -matter theory and its dual string theory using integrability. I will study the anomalous dimension problem of various operators in field theory side and the integrability in the dual string theory, mainly includes the baryon-like operators and the Wilson loop operator inserted with the matter field and its' string theory description. The integrable property of the theory can give the exact dependence on the coupling constant of the anomalous dimension. I will also test this strict solution in the gravity dual of gauge field theory.